The schematic shows that the trem oscillator shares cathode resistance with the 12AX7 gain stage. So that tells you if the oscillator is running, you should get
some amount of trem.
... I guess the next step is to check the three .01uF ceramic disks, right?
Before suspecting a malfunctioning part, I recommend seeing if the existing parts are hooked up/functioning correctly. In order to oscillate the trem oscillator needs 3 series caps from plate to grid, and 3 resistors to ground (1 after each cap).
I mentioned the footswitch before; I would follow the wiring from the footswitch jack back to see if it connects to a resistor (it should, according to the schematic). If you don't have continuity from that resistor to ground (through the footswitch), the oscillator can't oscillate.
The trem Speed pot is in series with one of the resistors in order to vary trem speed. You might check that it has good connection to ground at one end.
To ensure oscillation, the 12AX7 needs to have good gain. The 25uF cap is partly to help with this, which is why I suggested checking it. You can also try swapping with a known-strong tube.
There is a 0.68uF cap from the trem oscillator plate to ground. I'm thinking the purpose of that is to shunt all signal higher than trem-frequency to ground, mainly to minimize the effect of distortion in the oscillator tube. If that cap were leaky, it would also shunt your trem signal to ground. You could try unsoldering one end to see if trem is restored.
You can try swapping the caps from plate to grid, but you might want to try one at a time, as you probably will not have a good way to determine which is the leaky cap.
You'll want to be monitoring a.c. volts on the oscillator plate to see the trem signal, in case there's something preventing you from hearing it. Depending on your meter's capabilities, you will probably have to do this by measuring
d.c. volts at the plate and watching for slow fluctuation (set your amp's Speed control to minimum to help with this).